# Location Estimation of a Random Signal Source Based on Correlated Sensor Observations

@article{Sundaresan2011LocationEO, title={Location Estimation of a Random Signal Source Based on Correlated Sensor Observations}, author={Ashok Sundaresan and Pramod K. Varshney}, journal={IEEE Transactions on Signal Processing}, year={2011}, volume={59}, pages={787-799} }

The problem of location estimation of a source of random signals using a network of sensors is considered. A novel maximum-likelihood estimation (MLE) based approach using copula functions is proposed. The measurements received at the sensors are often spatially correlated and characterized by a multivariate distribution. Using the theory of copulas, the joint parametric density of sensor observations (joint likelihood) is approximated assuming only the knowledge of the marginal likelihood…

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## References

SHOWING 1-10 OF 37 REFERENCES

Maximum Likelihood Localization of a Diffusive Point Source Using Binary Observations

- Computer ScienceIEEE Transactions on Signal Processing
- 2007

In this paper, we investigate the problem of localization of a diffusive point source of gas based on binary observations provided by a distributed chemical sensor network. We motivate the use of the…

A maximum-likelihood parametric approach to source localizations

- Mathematics2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221)
- 2001

A one-step maximum-likelihood parametric source localization algorithm is proposed based on the maximum correlation between time shifted sensor data at the true source location, and shown to approach the Cramer-Rao bound asymptotically in simulations.

Target Location Estimation in Sensor Networks With Quantized Data

- Computer ScienceIEEE Transactions on Signal Processing
- 2006

A signal intensity based maximum-likelihood target location estimator that uses quantized data is proposed for wireless sensor networks (WSNs) and is much more accurate than the heuristic weighted average methods and can reach the CRLB even with a relatively small amount of data.

Maximum likelihood multiple-source localization using acoustic energy measurements with wireless sensor networks

- EngineeringIEEE Trans. Signal Process.
- 2005

A maximum likelihood (ML) acoustic source location estimation method is presented for the application in a wireless ad hoc sensor network and consistently outperforms existing acoustic energy based source localization methods.

Radiological Source Detection and Localisation Using Bayesian Techniques

- Computer ScienceIEEE Transactions on Signal Processing
- 2009

The problem considered in this paper is detection and estimation of multiple radiation sources using a time series of radiation counts from a collection of sensors. A Bayesian framework is adopted.…

Detection and Localization of Material Releases With Sparse Sensor Configurations

- Computer ScienceIEEE Transactions on Signal Processing
- 2007

This work considers the efficacy of using an approximate dynamic model with coarse parameter estimates for the detection and localization of material releases according to a Gaussian dispersion model and examines the impact on performance when the underlying dynamical model deviates from the assumed model.

Distributed Sequential Bayesian Estimation of a Diffusive Source in Wireless Sensor Networks

- Computer ScienceIEEE Transactions on Signal Processing
- 2007

We develop an efficient distributed sequential Bayesian estimation method for applications relating to diffusive sources-localizing a diffusive source, determining its space-time concentration…

Channel Aware Target Localization With Quantized Data in Wireless Sensor Networks

- Computer ScienceIEEE Transactions on Signal Processing
- 2009

A new maximum-likelihood (ML) target localization approach which uses quantized sensor data as well as wireless channel statistics in a wireless sensor network and the Cramer-Rao lower bounds (CRLBs) for the proposed channel-aware ML location estimators are derived.

Identification of Low-Level Point Radiation Sources Using a Sensor Network

- Physics2008 International Conference on Information Processing in Sensor Networks (ipsn 2008)
- 2008

This method minimizes the ghost-source problem of current estimation methods, and achieves a lower false alarm rate compared with current detection methods.

Detection and parameter estimation of multiple radioactive sources

- Mathematics2007 10th International Conference on Information Fusion
- 2007

Given an area where an unknown number of unaccounted radioactive sources potentially exist, and using gamma- radiation count measurements collected at known locations within this area, the problem is…